What is the quickest and easiest way to calculate this?

I just can't get the right answer (1 hour and 20 minutes). I wanted to apply the rule of three to a table with three columns. Anyone have any ideas? Thanks!

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DerJens292
2 months ago

A mechanic 4 cars per hour. (8 min + 7 min)

24 cars by 4 mechanics by 4 cars/h = duration1 in hours.

24 cars by 6 mechanics by 4 cars/h = duration2 in hours.

2 start one hour rather: 24 – (2 × 4) = 16

16 by 6 mechanics by 4 = duration3 in hours

Now you can calculate Duration1 minus Duration2 or 3 depending on which result you need.

DerJens292
2 months ago
Reply to  DerJens292

even if he would need 4 times as long as each car has 4 wheels, you can count on this formula

My workshop is faster.

RSL8a
2 months ago

Step 1: Total time for a mechanic per car

  • Remove Old Tires: 8 minutes
  • Unscrew new tyres: 7 minutes
  • Total time per car per mechanic: 8 + 7 = 15 minutes

Step 2: Total time for 24 cars with 4 mechanics

  • A mechanic needs 15 minutes for a car.
  • 4 mechanics can edit 4 cars simultaneously.
  • Time for all 24 cars: (24 cars * 15 minutes) / 4 = 90 minutes = 1 hour 30 minutes

Step 3: Total time for 24 cars with 6 mechanics

  • 6 mechanics can edit 6 cars simultaneously.
  • Time for all 24 cars: (24 cars * 15 minutes) / 6 = 60 minutes = 1 hour

Step 4: Additional working time of the two mechanics

  • The 5th and 6th mechanic begins 1 hour earlier.
  • In this time they are already working on: 60 minutes / 15 minutes per car = 4 cars
  • 20 cars left after this hour.
  • These 20 cars are then processed by 6 mechanics: (20 cars * 15 minutes) / 6 = 50 minutes
  • Total duration with 6 mechanics, incl. extra hour: 60 minutes + 50 minutes = 1 hour 50 minutes

Step 5: Time saving

  • With 4 mechanics, it takes 1 hour 30 minutes.
  • With 6 mechanics, including extra hour, it takes 1 hour 50 minutes.
  • Save: 1 hour 30 minutes – 50 minutes = 1 hour 40 minutes

Answer:1 hour 40 minutes (response a)

RSL8a
2 months ago
Reply to  RSL8a

I hope that will help you

Halbrecht
2 months ago
Reply to  sendhelpplease

probably chatgpt without own idea :(((

RSL8a
2 months ago
Reply to  sendhelpplease

No! It is not specified with 15 minutes!!

RSL8a
2 months ago

Sorry didn’t recognize it, right?

Lucian805
2 months ago

How long does 1 mechanic need for a car?

Then you share the number of cars by the number of mechanics to find out how many cars a mechanic does a day.

Then you reckon the first time the second number and have the first working time. You do this again with 6 mechanics and just have to make them difference.

Lucian805
2 months ago
Reply to  Lucian805

2 hours are right

RSL8a
2 months ago

otherwise there is a way of travel

RSL8a
2 months ago

Oh, but then you’re wrong with your solution, it can’t be that you don’t know how you get on it, because it’s wrong…

RSL8a
2 months ago

Why do you ask if you know her?